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Martin Motors has in stock three cars of the same make and model. The president would like to compare the gas consumption of the three cars (labeled car A, car B, and car C) using four different types of gasoline. For each trial, a gallon of gasoline was added to an empty tank, and the car was driven until it ran out of gas. The following table shows the number of miles driven in each trial.
Distance (miles)
Types of Gasoline Car A Car B Car C
Regular 22.4 20.8 21.5
Super regular 17.0 19.4 20.7
Unleaded 19.2 20.2 21.2
Premium unleaded 20.3 18.6 20.4
Using the .05 level of significance:
Is there a difference among types of gasoline?
Is there a difference in the cars?
200 people were surveyed and asked to rate mayor Michael Bloombergs effectiveness towards education. The rate scale is 1 (lowest) to 10 (highest). Mayor Bloomberg's average rating was 7.50, with a standard deviation of 2
At the .05 significance level, can we conclude that the mean waiting time is less than 3 minutes?
A university found that 20 percent of its students withdraw without completing the introductory statistics. Assume that 20 students registered for the course.
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Suppose that 40% of cars in your area are manufactured in the United States, 30% in Japan, 10% in Germany, and 20% in other countries. If you randomly select 6 cars, what is the probability that two of them are Japanese?
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The standard deviation of the population of adult female height scores is 3 inches. A random sample of 50 women yields a mean height of 64 inches. Calculate the standard error of the mean.
A box contains 9 tickets numbered 1 to 9 inclusive. If 3 tickets are drawn from a box one at a time, find the probability that they are alternative after (1) odd, even, odd or (2) even, odd, even.
Student A and B took different statistics classes and 2 different finals. Student A had a score of 83 out of 100 and ranked 72 in his class. Student b scored 85 out of 100 and he ranked in the 70 percentile of his class.
At the 5% significance level, can the researcher reject the hypothesis that the mean reading scores of all children in the three school systems is the same ? Formulate and test the appropriate hypotheses. Use the critical value approach.
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